difference family
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2021 ◽  
Author(s):  
Khadijeh Bagheri ◽  
Hassan Khodaiemehr ◽  
Taraneh Eghlidos ◽  
Daniel Panario

Author(s):  
Park Youngjin

AbstractIn L’Immanence des vérités, Alain Badiou rewrites the Platonic allegory of the cave. As the book’s structure reveals, Badiou’s central claim is that truths are absolute, for they are constituted by the dialectic between finitude and infinity, the consequence of which lies in the creation of the œuvre. Although love is often affected by individual difference, family, money, and social norms, philosophy calls for a rupture with these instances of finitude, awakening us to the truth that love is open to the possibility of infinity embodied by contingent encounter, amorous declaration, and the faithful construction of the Two. Badiou calls for subjectivization of this possibility in the form of the amorous œuvre, through and beyond the Lacanian impasse of the sexual non-relationship. This article supplements Badiouian love with Lacanian psychoanalysis by developing five points. First, the binary framework “Lacanian finitude vs Badiouian infinity” can be misleading. Second, Badiou himself regards the unconscious and the analytic discourse as inscribed by the dialectic between finitude and infinity. Third, Lacan allows us to recognize that the œuvre and the waste are not opposed, but rather supplementary to each other. Fourth, for both Lacan and Badiou, love constitutes the interlacing of the non-relationship and the Two. Fifth, the Badiouian amorous absolute must deal with the real of the absolute as the fusional One and thus, can be supplemented by the Lacanian problematic of the sexual relationship in its fantasmatic form of the One. Based on these points, this article elaborates such concepts as the amorous labor, the dialectic between œuvre and waste, and the artisan of love.


Author(s):  
Nikolay Balonin ◽  
Dragomir Ðoković

Introduction: There are just a few known methods for the construction of symmetric C-matrices, due to the lack of a universal structure for them. This obstruction is fundamental, in addition, the structure of C-matrices with a double border is incompletely described in literature, which makes its study especially relevant. The purpose: To describe the two-border two-circulant construction in detail with the proposal of the concept of C-pairs Legendre. Results: The paper deals with C-matrices of order n=2v+2 with two borders and extends the so called generalized Legendre pairs, v odd, to a wider class of Legendre C-pairs with even and odd v, defined on a finite abelian group G of order v. Such a pair consists of two functions a, b: G→Z, whose values are +1 or −1 except that a(e)=0, where e is the identity element of G and Z is  the ring of integers. To characterize the Legendre C-pairs we use the subsets X={xÎG: a(x)=–1} and Y={xÎG: b(x)=–1} of G. We show that a(x−1)=(−1)v a(x) for all x. For odd v we show that X and Y form a difference family, which is not true for even v. These difference families are precisely the so called Szekeres difference sets, used originally for the construction of skew-Hadamard matrices. We introduce the subclass of the special Legendre C-pairs and prove that they exist whenever 2v+1 is a prime power. In the last two sections of the paper we list examples of special cyclic Legendre C-pairs for lengths v<70. Practical relevance: C-matrices are used extensively in the problems of error-free coding, compression and masking of video information. Programs for search of conference matrices and a library of constructed matrices are used in the mathematical network “mathscinet.ru” together with executable on-line algorithms.


2020 ◽  
Vol 22 (2) ◽  
pp. 175-187
Author(s):  
Herman Westerink ◽  
Philippe Van Haute

Although Freud's ‘Family Romances’ from 1909 is hardly ever discussed at length in secondary literature, this article highlights this short essay as an important and informative text about Freud's changing perspectives on sexuality in the period in which the text was written. Given the fact that Freud, in his 1905 Three Essays, develops a radical theory of infantile sexuality as polymorphously perverse and as autoerotic pleasure, we argue that ‘Family Romances’, together with the closely related essay on infantile sexual theories (1908), paves the way for new theories of sexuality defined in terms of object relations informed by knowledge of sexual difference. ‘Family Romances’, in other words, preludes the introduction of the Oedipus complex, but also – interestingly – gives room for a Jungian view of sexuality and sexual phantasy. ‘Family Romances’ is thus a good illustration of the complex way in which Freud's theories of sexuality developed through time.


2020 ◽  
Vol 12 (1) ◽  
pp. 103-115
Author(s):  
Synthia Madya Kusumawati ◽  
Hyashinta Dyah P

Abstract- Prior research find evidence consistent with the hypothesis that future earnings influenced by difference between accounting and fiscal earnings (book tax differences). Many investors forming expectations of future earnings information derived from the difference between fiscal and commercial earnings, there were some investors would satisfied to see small differences between fiscal and commercial earnings, otherwise have the opposite view. This study aim to investigate how book-tax difference and family ownership play a role in the persistence of earnings. The authors using a sample 692 firm years of Indonesian listed companies within 2011-2016, they estimate cross-sectional regressions of the proxy for book-tax differences and family ownership on earning persistence. The study found that current pre-tax earnings can predict future earnings and also firm years with large book-tax difference have less earnings persistence than firm years with small book tax difference.  Further, this study found no evidence that family ownership have significant role in persistence of earnings.    Keywords: Earning Persistence, Future earnings, Pre-tax earnings, Book tax difference, Family Ownership.


Author(s):  
Leonid Abuzin ◽  
Nikolai Unknown ◽  
Dragomir Ðoković ◽  
Ilias Kotsireas

Purpose: To construct Hadamard matrices by using Goethals — Seidel difference families having a repeated block, generalizingthe so called propus construction. In particular we construct the first examples of symmetric Hadamard matrices of order 236.Methods: The main ingredient of the propus construction is a difference family in a finite abelian group of order v consisting offour blocks (X1, X2, X3, X4) where X1 is symmetric and X2 X3. The parameters (v; k1, k2, k3, k4; λ) of such family must satisfythe additional condition ki  λ  v. We modify this construction by imposing different symmetry conditions on some of theblocks and construct many examples of Hadamard matrices of this kind. In this paper we work with the cyclic group Zv of order v.For larger values of v we build the blocks Xi by using the orbits of a suitable small cyclic subgroup of the automorphism groupof Zv. Results: We continue the systematic search for symmetric Hadamard matrices of order 4v by using the propus construction.Such searches were carried out previously for odd v  51. We extend it to cover the case v53. Moreover we construct thefirst examples of symmetric Hadamard matrices of order 236. A wide collection of symmetric and skew-symmetric Hadamardmatrices was obtained and the corresponding difference families tabulated by using the symmetry properties of their blocks.Practical relevance: Hadamard matrices are used extensively in the problems of error-free coding, compression and masking ofvideo information. Programs for search of symmetric Hadamard matrices and a library of constructed matrices are used in themathematical network Internet together with executable on line algorithms.


2019 ◽  
Vol 29 (09) ◽  
pp. 1950122 ◽  
Author(s):  
Jie Liu ◽  
Xiaojun Tong ◽  
Zhu Wang ◽  
Jing Ma ◽  
Longteng Yi

A Rao–Nam cryptosystem based on error correction code is proposed to provide both security and reliability. Since its security is drastically constrained by the limited error syndromes, in this paper, an improved Rao–Nam cryptosystem based on fractional order hyperchaotic system and Extended Difference Family–Quasi-Cyclic–Low-Density Parity-Check (EDF–QC–LDPC) codes is proposed to improve the security. A four-dimensional fractional order hyperchaotic system is constructed and is used to generate an excellent pseudorandom sequence. By replacing error syndromes with the pseudorandom sequence and permuting the coded message dynamically, the security of the Rao–Nam cryptosystem is enhanced greatly. The ability of the improved Rao–Nam cryptosystem against known attacks is analyzed and the error correction performance with different parameters is simulated. The results show that the proposed cryptosystem has a significant advantage of resisting the chosen-plaintext attack. Moreover, the proposed cryptosystem retains high capacity of error correction.


2019 ◽  
Vol 18 (09) ◽  
pp. 1950166
Author(s):  
Hsin-Min Sun

We show that under certain technical conditions that simple [Formula: see text] balanced incomplete block designs (BIBDs) exist for all allowable values of [Formula: see text], where [Formula: see text] is an odd prime power. Our primary technique is to argue for the existence of difference families in finite fields, in the flavor of Wilson [J. Number Theory 4 (1972) 17–47]. We provide an extensive analysis in the cases, where [Formula: see text] and also for [Formula: see text].


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